81/20: Difference between revisions
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The ratio of '''81/20''' is the distance between the 81st and 20th [[harmonic]], which can be seen as a [[4/1|double octave]] that is augmented by a syntonic comma ([[81/80]]). This interval spans the size of about 2421.5 cents. It is also the result of stacking | The ratio of '''81/20''' is the distance between the 81st and 20th [[harmonic]], which can be seen as a [[4/1|double octave]] that is augmented by a syntonic comma ([[81/80]]). This interval spans the size of about 2421.5 cents. It is also the result of stacking four [[6/5]]'s and three [[5/4]]'s. This suggests that an [[octave stretch]] of half a syntonic comma is a good way to optimise a [[diatonic scale]] for [[just intonation|pure]] thirds, resulting in whole tones of approximately 193 cents and [[semitone (interval region)|semitones]] of 122. | ||
Latest revision as of 17:04, 26 February 2025
| Interval information |
The ratio of 81/20 is the distance between the 81st and 20th harmonic, which can be seen as a double octave that is augmented by a syntonic comma (81/80). This interval spans the size of about 2421.5 cents. It is also the result of stacking four 6/5's and three 5/4's. This suggests that an octave stretch of half a syntonic comma is a good way to optimise a diatonic scale for pure thirds, resulting in whole tones of approximately 193 cents and semitones of 122.